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23352300 = 223552312
BaseRepresentation
bin101100100010…
…1001111101100
31121221102100000
41121011033230
521434233200
62152304300
7402330336
oct131051754
947842300
1023352300
11121aaa24
1279a2090
134ab823a
14315c456
1520b4300
hex16453ec

23352300 has 162 divisors, whose sum is σ = 78435084. Its totient is φ = 6026400.

The previous prime is 23352293. The next prime is 23352313. The reversal of 23352300 is 325332.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 753285 + ... + 753315.

Almost surely, 223352300 is an apocalyptic number.

23352300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23352300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39217542).

23352300 is an abundant number, since it is smaller than the sum of its proper divisors (55082784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23352300 is a wasteful number, since it uses less digits than its factorization.

23352300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 23352300 is about 4832.4217531172. The cubic root of 23352300 is about 285.8313674911.

Adding to 23352300 its reverse (325332), we get a palindrome (23677632).

The spelling of 23352300 in words is "twenty-three million, three hundred fifty-two thousand, three hundred".